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223023005568 = 27321123765203
BaseRepresentation
bin1100111110110100110…
…1001111111110000000
3210022122212010112210100
43033231031033332000
512123222342134233
6250242205002400
722053501161136
oct3175515177600
9708585115710
10223023005568
1186646744030
1237281b53400
13180530a47ac
14ab19a7b756
155c047ca813
hex33ed34ff80

223023005568 has 192 divisors, whose sum is σ = 730555562880. Its totient is φ = 64644264960.

The previous prime is 223023005567. The next prime is 223023005587. The reversal of 223023005568 is 865500320322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2230230055682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223023005567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91146 + ... + 674057.

It is an arithmetic number, because the mean of its divisors is an integer number (3804976890).

Almost surely, 2223023005568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223023005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365277781440).

223023005568 is an abundant number, since it is smaller than the sum of its proper divisors (507532557312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223023005568 is a wasteful number, since it uses less digits than its factorization.

223023005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765257 (or 765242 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 223023005568 in words is "two hundred twenty-three billion, twenty-three million, five thousand, five hundred sixty-eight".